Pseudo Cohen–Macaulay and pseudo generalized Cohen–Macaulay modules☆

By Nguyễn Tứ Cường, Le Thanh Nhan. 2003

78 citations recorded by the source corpus.

Abstract In this paper we study the structure of two classes of modules called pseudo Cohen–Macaulay and pseudo generalized Cohen–Macaulay modules. We also give a characterization for these modules in term of the Cohen–Macaulayness and generalized Cohen–Macaulayness. Then we apply this result to prove a cohomological characterization for sequentially Cohen–Macaulay and sequentially generalized Cohen–Macaulay modules.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/3f682ecf7379813275d0c15505b37ae7bbf6bdb5